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Problem of the Week
Problem C

Liang has five balloons that are identical, except for their colour. Three are red (each labelled with an \(R\)) and two are green (each labelled with a \(G\)). He wants to put the five balloons in a row, but he is not sure which order he likes the best. How many different ways are there to arrange the five balloons in a row?

One of the possible orders is shown below.

Red, Green, Red, Green, Red

Note: Switching two red balloons in the arrangement above doesn’t count as a new arrangement, since all the red balloons look the same.

Theme: Number Sense